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20943360 = 29345101
BaseRepresentation
bin100111111100…
…1001000000000
31110102000220000
41033321020000
520330141420
62024520000
7343005234
oct117711000
943360800
1020943360
1110905069
127020000
134453929
142ad25c4
151c8a690
hex13f9200

20943360 has 200 divisors, whose sum is σ = 75755196. Its totient is φ = 5529600.

The previous prime is 20943359. The next prime is 20943361. The reversal of 20943360 is 6334902.

It is an interprime number because it is at equal distance from previous prime (20943359) and next prime (20943361).

It can be written as a sum of positive squares in 2 ways, for example, as 19927296 + 1016064 = 4464^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (20943361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207310 + ... + 207410.

Almost surely, 220943360 is an apocalyptic number.

20943360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37877598).

20943360 is an abundant number, since it is smaller than the sum of its proper divisors (54811836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20943360 is an equidigital number, since it uses as much as digits as its factorization.

20943360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 20943360 is about 4576.3915916364. The cubic root of 20943360 is about 275.6441538820.

The spelling of 20943360 in words is "twenty million, nine hundred forty-three thousand, three hundred sixty".